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Finding the Fourth Proportional to 3,783.70, 5,219.40 and 2,211.49

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Solution

The fourth proportional to 3,783.70, 5,219.40 and 2,211.49 is: 3,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.70 : 5,219.40 = 2,211.49 : x
  2. Step 2: Convert to fraction form
    3,783.70/5,219.40 = 2,211.49/x
  3. Step 3: Cross multiply
    3,783.70x = 5,219.40 × 2,211.49
  4. Step 4: Simplify right side
    3,783.70x = 11,542,650.91
  5. Step 5: Solve for x
    x = 11,542,650.91/3,783.70
  6. Step 6: Final answer
    x = 3,050.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.